Education Technology

Volume by Cross Sections

Published on 02/08/2012

Activity Overview

Students explore the concept of finding the volume of a solid formed by cross sections of a function that form certain shapes.

Key Steps

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    Students will be introduced to the concept of finding the volume of a solid formed by cross sections of a function that form certain shapes.

    Since volume is the area of the base times the height and dV = Area ∙ dx, students review areas of various shapes like squares, semicircles and equilateral triangles.

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    Calculator screen snapshots are used to help students get a visual of the volume under consideration.

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    Students will practice what they learn with exam-like questions for homework or as an extension.